Ognyan Kounchev
Affiliations:
Institute
of Mathematics and Informatics, Bulgarian Academy
Acad. G. Bonchev St. Sofia ,
Bulgaria
Römerstr. 164, 53117 Bonn, Telefon: +49 228 73 4304
e-mail addresses
(sorry about the inconvenience but the address is subdivided for avoiding the
robots producing spam):
kounchev at the following addresses:
math.uni-duisburg.de
gmx.de
math.bas.bg
e-math.ams.org
cs.wisc.edu
Project Coordination:
Director of Astroinformatics Project with Bulgarian NSF
Director of Digitization Project with Serbian Academy of Sciences, jointly with Institute of Astronomy, Bulgarian Academy of Sciences
Seminar
“Signal Analysis and Mathematical Finance”
Presentations available online:
1. Krasimir Milanov (FinAnalytica Ltd.), Advanced
Numerical Methods for Financial Problems. Pricing of Derivatives, lecture
delivered on September 28, 2006
2. Prof. Racho
Denchev (Faculty of Mathematics and Informatics,
Past conferences organized:
NATO Programme
Security through Science, Advanced Research Workshop “Scientific Support
for Decision Making in the Security Sector, October 21-25, 2006,
Workshop
on "Multiscale Approximations (wavelets, splines, RBF) and applications to Signal and Image
Processing" within the Sendov Conference on Approximation theory in
Monograph, appeared
in 2001:
Multivariate Polysplines. Applications to Numerical and Wavelet Analysis, Academic Press/ currently Elsevier. 2001.
For the Amazon sale see here, or, see how it looks like in Cover.
See some chapters: Table
of Contents
PLEASE SUBMIT ERRATA TO THE MONOGRAPH "Multivariate Polysplines" (form prepared by Damyan Kalaglarski).
Awards:
Alexander von Humboldt Foundation – Research Grants, 1992-1994;
2002; 2009-2010
Fulbright Commission – Senior Scholar Grant, 2000-2001
Alumnus:
National
High School of Mathematics and Science "Acad. Liubomir Tchakalov"; see photo and short biography of
L. Chakalov.
Professional
Experience (longer visits)
2002/2003/2004/2005/2006:
Visiting
with the Volkswagen Foundation (Hannover) – Department of Mathematics,
- Time Series Analysis, Multivariate Series Analysis, new methods based on Spline and Wavelet Analysis; Applications to Mathematical Finance;
- Partial Differential Equations,
Potential Theory and Applications to Inverse problems in Geophysics and
Geomagnetism;
- Applications of solutions of
higher order elliptic equations (in particular polyharmonic
and polyanalytic functions) to Multivariate
Constructive Theory of Functions – Approximation Theory, Spline Theory, Moment Problems and
Orthogonality;
- Applications of solutions of
higher order elliptic equations Computer Aided Geometric Design -
applications of polysplines to design of
automobile, aircraft fuselage, turbine, etc. surfaces;
- Harmonic Analysis and
especially Wavelet Analysis;
- Multivariate orthogonality,
Padé
approximations with applications to Inverse Problems in Spectral Theory,
and Operators in Hilbert space with infinite multiplicity, in particular Schroedinger operators;
- Elliptic BVP in domains with
singularities;
Some
past
projects:
2003-2008: Institutes Partnership with
the Alexander von Humboldt Foundation, with University of Bremen (Center for
Technomathematics, Prof. Peter Maass), University of Duisburg-Essen (Department
of Applied Analysis, Prof. Werner Haussmann, Prof. Gerlind Plonka, PD Hermann
Render), Max-Planck Institute for Mathematics in the Sciences in Leipzig
(Department of Scientific Computations, Prof. Wolfgang Hackbusch), University of
Potsdam (Department of Partial Differential Equations, Prof. Bert-Wolfgang
Schulze). Workshop
on May 8, 2006, at the University of Duisburg-Essen, campus Duisburg . Program of the Workshop.
2003-2007:
Joint research project in
the framework of the Greek-Bulgarian S&T Cooperation “Study of biomedical
data by the methods of Multiresolution Analysis.
Applications of polyspline wavelets to immuno-computations and brain research”, with
participants from The Aristotle University of Thessaloniki (Department of
Informatics, Prof. Costas Karanikas, Dr. Nikolaos Atreas), and Institute of
Physiology and Institute of Information Technologies, Bulgarian Academy of
Sciences.
2005: Joint research project
via DFG “Applications of spline and wavelet
analysis to yield curve” with participants, University of Bonn (Department
of Applied Mathematics, Prof. Sergio Albeverio).
Ph. D. students supervised jointly with Prof. Milcho K. Tsvetkov (alphabetic order): Damyan G. Kalaglarsky and Rumen G. Bogdanovski. We are trying to model pictures like the Astronomy picture of the day, e.g. this (see it bigger).
Might be very useful:
Last update: October 1,
2009.